DocumentCode
2269371
Title
On the computation of piecewise quadratic Lyapunov functions
Author
Johansson, Mikael ; Rantzer, Anders
Author_Institution
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Volume
4
fYear
1997
fDate
10-12 Dec 1997
Firstpage
3515
Abstract
A new parametrization of piecewise quadratic functions is presented, aimed for convex optimization of Lyapunov functions. The parametrization ensures continuity of the functions, but is also flexible enough to approximate any continuous function with arbitrary accuracy. A converse Lyapunov theorem is given, stating that all exponentially stable systems of a certain class will in principle admit a piecewise quadratic Lyapunov function, to be found by the given optimization procedure
Keywords
Lyapunov methods; nonlinear systems; optimisation; piecewise-linear techniques; stability; state-space methods; convex optimization; exponentially stable systems; nonlinear systems; piecewise quadratic Lyapunov functions; stability; state space; Control system synthesis; Ear; Level set; Linear systems; Lyapunov method; Nonlinear systems; Performance analysis; Piecewise linear approximation; Stability analysis; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location
San Diego, CA
ISSN
0191-2216
Print_ISBN
0-7803-4187-2
Type
conf
DOI
10.1109/CDC.1997.652393
Filename
652393
Link To Document